Let a be a regular curve with rule a(t) = (f(t)cost - f'(t)sin t, f(t)sint + f'(1)cost) where f is a triple differentiable real valued function of t. Find the evolute of a.

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Dear learner, as per our guidelines we can provide the solution for one part only. Kindly post other…

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A: First we will plot the given parameters.

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Q: Which expression is equivalent to 2(d + 4)? 8d 8d + 2 2d + 8 6d Submit

A: Given expression  is 2(d+4) To get equivalent expression multiply 2 with (d+4)